Time Elapsed Calculator

Time Elapsed Formula:

\[ t = -R_{dv} \times C \times \ln\left(\frac{V_{dis}}{V_c}\right) \]

Resistance of Discharging Voltage (R_dv):

Capacitance of Voltage Discharge (C):

Discharge Voltage of EDM (V_dis):

Voltage at any Time in Voltage Discharge (V_c):

Time Elapsed for Voltage Discharge (t):

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1. What is the Time Elapsed for Voltage Discharge?

The Time Elapsed for Voltage Discharge calculates the time taken for a capacitor to discharge from an initial voltage to a specific voltage level through a resistor in an electrical circuit.

2. How Does the Calculator Work?

The calculator uses the time elapsed formula:

\[ t = -R_{dv} \times C \times \ln\left(\frac{V_{dis}}{V_c}\right) \]

Where:

\( t \) — Time elapsed for voltage discharge (seconds)
\( R_{dv} \) — Resistance of discharging voltage (ohms)
\( C \) — Capacitance of voltage discharge (farads)
\( V_{dis} \) — Discharge voltage of EDM (volts)
\( V_c \) — Voltage at any time in voltage discharge (volts)

Explanation: The formula calculates the time required for a capacitor to discharge through a resistor from initial voltage V_dis to voltage V_c.

3. Importance of Time Elapsed Calculation

Details: Accurate time calculation is crucial for circuit design, timing applications, power management systems, and understanding capacitor discharge behavior in various electronic applications.

4. Using the Calculator

Tips: Enter resistance in ohms, capacitance in farads, and both voltages in volts. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the natural logarithm function used in this formula?
A: The natural logarithm (ln) is the inverse function of the natural exponential function, used to solve exponential decay equations in capacitor discharge calculations.

Q2: Why is there a negative sign in the formula?
A: The negative sign indicates that the voltage decreases over time during the discharge process, representing the exponential decay nature of capacitor discharge.

Q3: What are typical units used for these calculations?
A: Resistance in ohms (Ω), capacitance in farads (F), voltage in volts (V), and time in seconds (s).

Q4: Can this formula be used for charging calculations?
A: No, this specific formula is for discharge calculations. Charging calculations use a different formula: t = R×C×ln(V/(V-V_c)).

Q5: What is the time constant in RC circuits?
A: The time constant (τ) is R×C, which represents the time required for the voltage to drop to approximately 36.8% of its initial value during discharge.